论文标题
Kochen-Specker定理的重新审查：完整性假设的放松
Reexamination of the Kochen-Specker theorem: Relaxation of the completeness assumption
论文作者
论文摘要
Kochen-Specker定理指出，对于某些测量值，称为Kochen-Specker（KS）集，排他性和完整的确定性结果分配是不可能的。一个直接的结果是，KS集没有联合概率分布，因为无法构建对这种分布的一组关节结果。但是，我们表明，可以通过放松完整性假设来构建任何KS上的关节准方法分布。有趣的是，在可测量的边际概率分布的水平上仍然可以观察到完整性。这表明可观察到的完整性可能不是一个基本特征，而是二级财产。
The Kochen-Specker theorem states that exclusive and complete deterministic outcome assignments are impossible for certain sets of measurements, called Kochen-Specker (KS) sets. A straightforward consequence is that KS sets do not have joint probability distributions because no set of joint outcomes over such a distribution can be constructed. However, we show it is possible to construct a joint quasiprobability distribution over any KS set by relaxing the completeness assumption. Interestingly, completeness is still observable at the level of measurable marginal probability distributions. This suggests the observable completeness might not be a fundamental feature, but a secondary property.
